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Finding the Third Proportional to 171,388 and 369,086

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Solution

The third proportional to 171,388 and 369,086 is: 794,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,388 : 369,086 = 369,086 : x
  2. Step 2: Convert to fraction form
    171,388/369,086 = 369,086/x
  3. Step 3: Cross multiply
    171,388x = 369,086 × 369,086
  4. Step 4: Simplify right side
    171,388x = 136,224,475,396
  5. Step 5: Solve for x
    x = 136,224,475,396/171,388
  6. Step 6: Final answer
    x = 794,830.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.